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Finding the Fourth Proportional to 10,019.52, 15,016.32 and 9,864

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Solution

The fourth proportional to 10,019.52, 15,016.32 and 9,864 is: 14,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.52 : 15,016.32 = 9,864 : x
  2. Step 2: Convert to fraction form
    10,019.52/15,016.32 = 9,864/x
  3. Step 3: Cross multiply
    10,019.52x = 15,016.32 × 9,864
  4. Step 4: Simplify right side
    10,019.52x = 148,120,980.48
  5. Step 5: Solve for x
    x = 148,120,980.48/10,019.52
  6. Step 6: Final answer
    x = 14,783.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.